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Finding the Fourth Proportional to 1,421.88, 2,131.43 and 681.29

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Solution

The fourth proportional to 1,421.88, 2,131.43 and 681.29 is: 1,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.88 : 2,131.43 = 681.29 : x
  2. Step 2: Convert to fraction form
    1,421.88/2,131.43 = 681.29/x
  3. Step 3: Cross multiply
    1,421.88x = 2,131.43 × 681.29
  4. Step 4: Simplify right side
    1,421.88x = 1,452,121.94
  5. Step 5: Solve for x
    x = 1,452,121.94/1,421.88
  6. Step 6: Final answer
    x = 1,021.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.